1138125683200
1,138,125,683,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1138125683200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
1138125683200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 1138125683200:
29 × 52 × 11 × 17 × 37 × 71 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 17 × 37 × 71 × 181)See below for interesting mathematical facts about the number 1138125683200 from the Numbermatics database.
Names of 1138125683200
- Cardinal: 1138125683200 can be written as One trillion, one hundred thirty-eight billion, one hundred twenty-five million, six hundred eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.1381256832 × 1012
Factors of 1138125683200
Divisors of 1138125683200
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 37 40 44 50 55 64 68 71 74 80 85 88 100 110 128 136 142 148 160 170 176 181 185 187 200 220 256 272 275 284 296 320 340 352 355 362 370 374 400 407 425 440 512 544 550 568 592 629 640 680 704 710 724 740 748 781 800 814 850 880 905 925 935 1088 1100 1136 1184 1207 1258 1280 1360 1408 1420 1448 1480 1496 1562 1600 1628 1700 1760 1775 1810 1850 1870 1991 2035 2176 2200 2272 2368 2414 2516 2560 2627 2720 2816 2840 2896 2960 2992 3077 3124 3145 3200 3256 3400 3520 3550 3620 3700 3740 3905 3982 4070 4352 4400 4525 4544 4675 4736 4828 5032 5254 5440 5632 5680 5792 5920 5984 6035 6154 6248 6290 6400 6512 6697 6800 6919 7040 7100 7240 7400 7480 7810 7964 8140 8704 8800 9050 9088 9350 9472 9656 9955 10064 10175 10508 10880 11360 11584 11840 11968 12070 12308 12496 12580 12800 12851 13024 13135 13277 13394 13600 13838 14080 14200 14480 14800 14960 15385 15620 15725 15928 16280 17600 18100 18176 18700 18944 19312 19525 19910 20128 20350 21016 21760 22720 23168 23680 23936 24140 24616 24992 25160 25702 26048 26270 26554 26788 27200 27676 28160 28400 28897 28960 29600 29920 30175 30770 31240 31450 31856 32560 33485 33847 34595 35200 36200 36352 37400 38624 39050 39820 40256 40700 42032 43520 44659 45440 46336 47360 47872 48280 49232 49775 49984 50320 51404 52096 52540 53108 53576 54400 55352 56800 57794 57920 59200 59840 60350 61540 62480 62900 63712 64255 65120 65675 66385 66970 67694 69190 70400 72400 73667 74800 76925 77248 78100 79640 80512 81400 84064 89318 90880 92672 94720 95744 96560 98464 99550 99968 100640 102808 104192 105080 106216 107152 108800 110704 113600 113849 115588 115840 118400 119680 120700 123080 124960 125800 127424 128510 130240 131350 132770 133940 135388 138380 140800 141361 144485 144800 147334 149600 153850 154496 156200 159280 161024 162800 167425 168128 169235 172975 178636 181760 193120 196928 199100 199936 201280 205616 208384 210160 212432 214304 217600 218467 221408 223295 227200 227698 231176 231680 236800 239360 241400 246160 249920 251600 254848 257020 260480 262700 265540 267880 270776 276760 282722 288970 289600 294668 299200 307700 308992 312400 318560 321275 322048 325600 331925 334850 336256 338470 345950 357272 368335 386240 393856 398200 399872 402560 411232 420320 424864 428608 436934 442816 446590 454400 455396 462352 463360 473600 475487 478720 482800 491249 492320 499840 503200 509696 514040 520960 525400 531080 535760 541552 553520 565444 569245 577940 579200 589336 598400 615400 617984 624800 637120 642550 651200 663850 669700 672512 676940 691900 706805 714544 722425 736670 772480 787712 796400 805120 822464 840640 846175 849728 857216 873868 885632 893180 908800 910792 924704 950974 965600 982498 984640 999680 1006400 1019392 1028080 1041920 1050800 1062160 1071520 1083104 1092335 1107040 1116475 1130888 1138490 1155880 1158400 1178672 1196800 1230800 1249600 1252339 1274240 1285100 1302400 1327700 1339400 1345024 1353880 1383800 1413610 1429088 1444850 1473340 1544960 1575424 1592800 1610240 1644928 1681280 1692350 1699456 1714432 1747736 1771264 1786360 1821584 1841675 1849408 1901948 1931200 1964996 1969280 1999360 2012800 2056160 2101600 2124320 2143040 2166208 2184670 2214080 2232950 2261776 2276980 2311760 2316800 2357344 2377435 2393600 2403137 2456245 2461600 2499200 2504678 2548480 2570200 2604800 2655400 2678800 2707760 2767600 2827220 2846225 2858176 2889700 2946680 3089920 3185600 3289856 3362560 3384700 3398912 3428864 3495472 3534025 3542528 3572720 3643168 3683350 3698816 3803896 3862400 3929992 3938560 4025600 4112320 4203200 4248640 4286080 4332416 4369340 4428160 4465900 4523552 4553960 4623520 4714688 4754870 4806274 4912490 4923200 4998400 5009356 5096960 5140400 5209600 5230357 5310800 5357600 5415520 5461675 5535200 5654440 5692450 5716352 5779400 5893360 6261695 6371200 6579712 6725120 6769400 6797824 6990944 7068050 7145440 7286336 7366700 7397632 7607792 7724800 7859984 7877120 8051200 8083279 8224640 8406400 8497280 8572160 8664832 8738680 8856320 8931800 9047104 9107920 9247040 9429376 9509740 9612548 9824980 9846400 9996800 10018712 10280800 10460714 10621600 10715200 10831040 10923350 11070400 11308880 11384900 11432704 11558800 11786720 11887175 12015685 12281225 12523390 12742400 13538800 13981888 14136100 14290880 14572672 14733400 14795264 15215584 15449600 15719968 16166558 16449280 16812800 16994560 17144320 17329664 17477360 17712640 17863600 18094208 18215840 18494080 18858752 19019480 19225096 19649960 19692800 20037424 20561600 20921428 21243200 21430400 21662080 21846700 22140800 22617760 22769800 22865408 23117600 23573440 23774350 24031370 24562450 25046780 25484800 26151785 27077600 27963776 28272200 28581760 29145344 29466800 30431168 31308475 31439936 32333116 32898560 33625600 33989120 34954720 35727200 36188416 36431680 36988160 37717504 38038960 38450192 39299920 39385600 40074848 40416395 41123200 41842856 42486400 42860800 43324160 43693400 44281600 45235520 45539600 46235200 47146880 47548700 48062740 49124900 50093560 52303570 54155200 55927552 56544400 57163520 58290688 58933600 60078425 60862336 62616950 62879872 64666232 69909440 71454400 72376832 72863360 73976320 76077920 76900384 78599840 80149696 80832790 82246400 83685712 84972800 85721600 86648320 87386800 88563200 88916069 90471040 91079200 92470400 94293760 95097400 96125480 98249800 100187120 104607140 108310400 111855104 113088800 114327040 117867200 120156850 121724672 125233900 125759744 129332464 130758925 139818880 142908800 145726720 152155840 153800768 157199680 160299392 161665580 164492800 167371424 169945600 174773600 177832138 180942080 182158400 184940800 188587520 190194800 192250960 196499600 200374240 202081975 209214280 216620800 226177600 235734400 240313700 243449344 250467800 251519488 258664928 261517850 279637760 285817600 291453440 304311680 307601536 314399360 320598784 323331160 334742848 349547200 355664276 361884160 364316800 369881600 380389600 384501920 392999200 400748480 404163950 418428560 433241600 444580345 452355200 471468800 480627400 500935600 517329856 523035700 559275520 571635200 608623360 615203072 628798720 641197568 646662320 669485696 699094400 711328552 728633600 760779200 769003840 785998400 801496960 808327900 836857120 889160690 904710400 942937600 961254800 1001871200 1034659712 1046071400 1217246720 1230406144 1257597440 1293324640 1338971392 1398188800 1422657104 1457267200 1521558400 1538007680 1571996800 1602993920 1616655800 1673714240 1778321380 1809420800 1922509600 2003742400 2069319424 2092142800 2222901725 2586649280 2677942784 2796377600 2845314208 3043116800 3076015360 3143993600 3205987840 3233311600 3347428480 3556642760 3845019200 4007484800 4138638848 4184285600 4445803450 5173298560 5690628416 6086233600 6152030720 6287987200 6466623200 6694856960 7113285520 7690038400 8014969600 8368571200 8891606900 10346597120 11381256832 12933246400 13389713920 14226571040 15380076800 16029939200 16737142400 17783213800 20693194240 22762513664 25866492800 28453142080 30760153600 33474284800 35566427600 45525027328 51732985600 56906284160 66948569600 71132855200 103465971200 113812568320 142265710400 227625136640 284531420800 569062841600 1138125683200
- Sum of all divisors σ(n): 3410975183616
- Sum of proper divisors (its aliquot sum) s(n): 2272849500416
- 1138125683200 is an abundant number, because the sum of its proper divisors (2272849500416) is greater than itself. Its abundance is 1134723817216
Bases of 1138125683200
- Binary: 100001000111111011001001110111010000000002
- Hexadecimal: 0x108FD93BA00
- Base-36: EIUIN9J4
Squares and roots of 1138125683200
- 1138125683200 squared (11381256832002) is 1295330070759466762240000
- 1138125683200 cubed (11381256832003) is 1474248421752622451642091962368000000
-
The
square root of 1138125683200 is 1066829.7348686903 -
The
cube root of 1138125683200 is 10440.7110000549
Scales and comparisons
How big is 1138125683200?- 1,138,125,683,200 seconds is equal to 36,188 years, 45 weeks, 3 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 1,138,125,683,200 would take you about ninety thousand, four hundred seventy-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 1138125683200 cubic inches would be around 870.1 feet tall.
Recreational maths with 1138125683200
- 1138125683200 backwards is 0023865218311
- 1138125683200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1138125683200's digits is 40
- More coming soon!
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The information we have on file for 1138125683200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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